首页    期刊浏览 2026年01月03日 星期六
登录注册

文章基本信息

  • 标题:MATHEMATICAL TRUTH WITHOUT REFERENCE
  • 本地全文:下载
  • 作者:Colin McCullough-Benner
  • 期刊名称:Problemos
  • 印刷版ISSN:1392-1126
  • 电子版ISSN:2424-6158
  • 出版年度:2014
  • 页码:70-77
  • 语种:English
  • 出版社:Vilnius University Press
  • 摘要:According to a canonical argument for mathematical platonism,if we are to have a uniform semantics which covers both mathematical and non-mathematical language,then we must understand singular terms in mathematics as referring to objects and understand quantifiers as ranging over a domain of such objects,and so treating mathematics as literally true commits us to the existence of (mindindependent,abstract) mathematical objects.In this paper,I argue that insofar as we can provide a uni_form semantics for the better part of ordinary,non-mathematical language,we can provide a uniform semantics covering both mathematical and non-mathematical language without thereby committing ourselves to the existence of mathematical objects.
  • 关键词:Mathematics;platonism;anti-realism;non-referential semantics;compositionality;ontological commitment
国家哲学社会科学文献中心版权所有